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Coefficient of correlation r is bounded by
A0 ≤ r ≤ 1
B−∞ ≤ r ≤ ∞
C−1 ≤ r ≤ 1
Dr > 0 always
Answer & Solution
Correct answer: C. −1 ≤ r ≤ 1
1. Pearson's correlation coefficient measures linear association.
2. It always lies between −1 (perfect negative) and +1 (perfect positive).
3. r = 0 indicates no linear relationship.
4. Hence (B) is the valid range.
_Source: Maharashtra Balbharati Std XII Mathematics & Statistics (Commerce), Ch 5 "Linear Regression", §5.2 ¶§5.2_
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